primeNumberTheoremRelation
P37892
predicate
Indicates the asymptotic relationship between the distribution of prime numbers and the logarithmic growth of integers, as formalized by the prime number theorem.
All labels observed (1)
| Label | Occurrences |
|---|---|
| primeNumberTheoremRelation canonical | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: primeNumberTheoremRelation
Generated description
Indicates the asymptotic relationship between the distribution of prime numbers and the logarithmic growth of integers, as formalized by the prime number theorem.
Sample triples (1)
| Subject | Object |
|---|---|
| Riemann zeta function | nonvanishing of ζ(s) on Re(s) = 1 equivalent to prime number theorem ⓘ |